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A041054
Numerators of continued fraction convergents to sqrt(33).
2
5, 6, 17, 23, 247, 270, 787, 1057, 11357, 12414, 36185, 48599, 522175, 570774, 1663723, 2234497, 24008693, 26243190, 76495073, 102738263, 1103877703, 1206615966, 3517109635, 4723725601, 50754365645
OFFSET
0,1
FORMULA
a(n) = 46*a(n-4)-a(n-8). G.f.: -(x^7-5*x^6+6*x^5-17*x^4-23*x^3-17*x^2-6*x-5)/(x^8-46*x^4+1). [Colin Barker, Jul 16 2012]
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[33], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011 *)
Numerator[Convergents[Sqrt[33], 30]] (* Harvey P. Dale, Oct 25 2011 *)
CoefficientList[Series[- (x^7 - 5 x^6 + 6 x^5 - 17 x^4 - 23 x^3 - 17 x^2 - 6 x - 5)/(x^8 - 46 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 23 2013 *)
CROSSREFS
Sequence in context: A099571 A041997 A041773 * A297980 A120034 A094425
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved